How many cubic centimeters are in a rectangular prism with a length of 3, a width of 3 and a height of 4

Answer:

Surface area of the figure = 1672 [tex]cm^{2}[/tex]

Step-by-step explanation:

Surface area of the figure = surface area of the prism + surface area of the 3 cubes

The surface area of the rectangular prism = sum of the area of its individual sides

                                             = 2(26 x 10) + 2(10 x 10) + 2(26 x 10)

                                             = 520 + 200 + 520

The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]

Surface area of one of the cubes = 5(6 x 6)

                                                      = 180 [tex]cm^{2}[/tex]

The surface area of the 3 cubes = 3 x 180

                                                     = 540 [tex]cm^{2}[/tex]

Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].

So that;

The surface area of the figure = (1240 - 108) + 540

                                               = 1132 + 540

                                                = 1672 [tex]cm^{2}[/tex]

Answer:

Third side = 4

Step-by-step explanation:

Use Pythagoras theorem :

C = longer side, a = 10, b ?

[tex]c^2 = a^2 + b^2[/tex]

[tex](2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4[/tex]

Answer:

(goh)(5) = 4

Step-by-step explanation:

(goh)(x) = g(x-7)

g(x-7) = (x-7)^2

g(x-7)= x^2 - 14x + 49

(goh) = x^2 - 14x + 49

(goh)(5) = 5^2 - 14(5) + 49

(goh)(5) = 25 - 70 + 49

(goh)(5) = 4

Given:

In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]

Using Pythagoras theorem, we get

[tex](x)^2=(5)^2+(5.6)^2[/tex]

[tex]x^2=25+31.36[/tex]

[tex]x^2=56.36[/tex]

Taking square root on both sides, we get

[tex]x=\sqrt{56.36}[/tex]

[tex]x=7.50733[/tex]

[tex]x\approx 7.5[/tex]

The measure of missing side is 7.5 ft. Therefore, the correct option is D.

Answer:

Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.

To find out- ∠QOR=?

Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.

∴ By rule, ∠QOR=2∠QPR.........(i).

Now PQR is an equilateral Δ. Each of its angle is 60

o

. i.e ∠QPR=60

o

.

So, from (i), ∠QOR=2∠QPR=2×60

o

=120

o

.

Ans- Option B.

solution

Step-by-step explanation:

a. 3x²+10x+8 = (3x+4)(x+2)

b. 4x²+21x-18 = (4x-3)(x+6)

c. 3x²+8x+5 = (3x+5)(x+1)

d. 6x²+5x-4 = (2x-1)(3x+4)

e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)

f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)

g. 6x²-7x-3 = (2x-3)(3x +1)

h. 6x²-43x+72 = (3x-8)(2x-9)

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

Answer:

At least two of the lateral faces are congruent.

Step-by-step explanation:

Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.

hope this helps:)

Answer:

4th answer

Step-by-step explanation:

g(h(x)) means to put the formula for h(x) into the formula for g(  ).

[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]

Cubing the binomial 2x - 2 can take some time!

Answer:

i^85 = i

A way you can solve this is divide 85 by4

The remainder is one right? that means i^85 is the same as i^1. remember, i^1 = i.

Answer:

B

Step-by-step explanation:

Have a wonderful day

Answer:

Step-by-step explanation:

your answer would be b

Answer:

7.5 cm

Step-by-step explanation:

A rod 123.75 cm long is sawn into 16 equal lengths.

The length of each rod is calculated as:

123.75cm/16 =

= 7.734375cm

If a wastage takes place of ¼ cm for each saw cut,

The length of each piece is calculated as:

7.734375cm - 1/4 cm

7.734375cm − 0.25 cm

7.484375cm

Approximately = 7.5 cm

Therefore, the length of each piece = 7.5 cm

Answer:

Let the set be X.

X = {x ∈ N  : 2x < 15}

X = {2, 4 , 6 , 8 , 10, 12 , 14}

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

Answer:

should be 8 !

Step-by-step explanation:

it just is

Answer:

4

Hope that this helps!

Answer:

50th term = 16

Step-by-step explanation:

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {d. \: - 84}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]

✒ [tex] \: 6\:a\:b[/tex]

Plugging in the value "a = 7" and "b = -2" in the above expression, we have

✒ [tex] \: 6 \times 7 \times ( - 2)[/tex]

✒ [tex] \: - 84[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

Hello! answer: 18

Step-by-step explanation:

AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!

Step-by-step explanation:

5x+2x=-12 -23

7x=-35

Answer:

-5

Step-by-step explanation:

5x+23=-2x-12

5x-(-2x)+23=-12

5x+2x=-12-23

7x=-35

x=-35/7

x=-5

Answer:

As 3-4-5     5-12-13 is a right triangle

5^2 + 12^2 = 25 * 144 = 169 = 13^2

Not sure how POR is designated, but

cos theta = 12/13 = .923    theta = 22.6 deg

sin theta = 5/13 = .385   theta = 22.6 deg

Answer: (1) mean = 9.46; standard deviation = 3.74

Step-by-step explanation:

Answer:

Step-by-step explanation:

I dont know which b and c you are talking about, so...

3) b) 8, c) 19

4) b) 10, c) 16

Hope its helps u

Thank You

Please mark as brainliest

Answer:

4). 0.00000302

corecct answer

Answer:

??????

I don't exactly see the following in your question srry :(

But I think it should be 2a^7 + 5a^7 = 7a^7

Answer:

(2+5)a^7

Step-by-step explanation:

i took the test hope this helps ^^

Answer:

hope this helps

Step-by-step explanation:

for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Answer:

For an expression to be in polynomial form , the following conditions must be met :

Answer:

38.43 sales tax, 597.43 total price

Step-by-step explanation:

559x.06875=38.43 sales tax

559+38.43=597.43 total price

Answer:

2/5

Step-by-step explanation: